311413310112 has 96 divisors (see below), whose sum is σ = 826180774272. Its totient is φ = 102697795584.

The previous prime is 311413310081. The next prime is 311413310141. The reversal of 311413310112 is 211013314113.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42673248 + ... + 42680544.

It is an arithmetic number, because the mean of its divisors is an integer number (8606049732).

Almost surely, 2^311413310112 is an apocalyptic number.

311413310112 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 311413310112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (413090387136).

311413310112 is an abundant number, since it is smaller than the sum of its proper divisors (514767464160).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

311413310112 is a wasteful number, since it uses less digits than its factorization.

311413310112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11990 (or 11982 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 21.

Adding to 311413310112 its reverse (211013314113), we get a palindrome (522426624225).

The spelling of 311413310112 in words is "three hundred eleven billion, four hundred thirteen million, three hundred ten thousand, one hundred twelve".